Answer:
p=-2
Step-by-step explanation:
24p+12-18p=10+2p-6
Subtract what is to the right of the equal sign from both sides of the equation.
24p+12-18p-(10+2p-6)=0
Then pull out the like terms(factors)
Which is: 4p+8
=4(p+2)
Put that to 0 and 4=0 which is not a solution because it's a non-zero constant.
So now put p+2=0, subtract by 2 on both sides and the 2 cancels out and on the right side you have -2
p=-2
Answer is 2n -2 = n-38
Reason
2 fewer means (-2) than
A doubled number is (2n)
Same as is (=)
The number decreased by 38 is (n-38)
Combine these
2n-2=n-38
Answer:
12.5%
Step-by-step explanation:
Subtract 48 from 54 to find the change in the height:
54 - 48 = 6
Divide 6 by 48 to find the change in percent:
6 / 48 = 0.125 --> 12.5%
Answer:
Step-by-step explanation:
In any 30-60-90 triangle, the side lengths are in the ratio 
, where 
is the hypotenuse, or longest side, of the triangle and 
is the side opposite to the 30 degree angle.
In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since is opposite to the 30 degree angle,
Therefore, we have:
Based on our side length ratio , 
is then:
